Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bs |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
230096776826880 = 212 · 318 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52681,4578935] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1296:1] |
Generators of the group modulo torsion |
j |
3947608165749184/56175970905 |
j-invariant |
L |
6.3046848128888 |
L(r)(E,1)/r! |
Ω |
0.5596712635059 |
Real period |
R |
0.62583214508568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840l1 13920e1 83520cf1 |
Quadratic twists by: -4 8 -3 |